! :folding=indent:collapseFolds=0:

! $Id$
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! Copyright (C) 2004 Slava Pestov.
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IN: math
USE: math
USE: math-internals
USE: kernel

! Power-related functions:
!     exp log sqrt pow

: exp >rect swap fexp swap polar> ;
: log >polar swap flog swap rect> ;

: sqrt ( z -- sqrt )
    >polar dup pi = [
        drop fsqrt 0 swap rect>
    ] [
        swap fsqrt swap 2 / polar>
    ] ifte ;

: ^mag ( w abs arg -- magnitude )
    >r >r >rect swap r> swap fpow r> rot * fexp / ;

: ^theta ( w abs arg -- theta )
    >r >r >rect r> flog * swap r> * + ;

: ^ ( z w -- z^w )
    over real? over integer? and [
        fpow
    ] [
        swap >polar 3dup ^theta >r ^mag r> polar>
    ] ifte ;